The Spacetime Positive Mass Theorem in Dimensions Less Than 8

The Spacetime Positive Mass Theorem in Dimensions Less Than 8

-
Dan Lee, CUNY
Fine Hall 314

After reviewing the proof of the Riemannian positive mass theorem in dimensions less than 8, I will briefly explain how to generalize the proof to slices of spacetime that are not time- symmetric. The basic idea is to replace minimal hypersurfaces by marginally outer-trapped hypersurfaces, and the main difficulty is to avoid using any minimization process. This is joint work with Eichmair, Huang, and Schoen.